Stationary point意思

"Stationary point" is a term that can have different meanings depending on the context in which it is used. Here are a few common definitions:

1. Mathematics and Physics: In mathematics and physics, a stationary point refers to a point on a curve or surface at which the value of a function does not change. This can occur because the function is either at a minimum, maximum, or inflection point. The term is often used in the context of optimization problems, where one is trying to find the minimum or maximum of a function.

2. Chemistry: In chemistry, a stationary point refers to a point on a potential energy surface where the energy of a system is at a minimum. This can correspond to a stable configuration of the atoms in the system, such as an equilibrium structure of a molecule.

3. Geography: In geography, a stationary point is a point on a river or other body of water where the water level does not change significantly over time. This can be due to a natural feature such as a waterfall or a dam that prevents the water level from rising or falling.

4. Engineering: In engineering, a stationary point can refer to a point on a machine or other device where a part does not move. This can be a point of support or a point where two parts are connected and do not rotate or slide relative to each other.

5. Astronomy: In astronomy, a stationary point can refer to a point in the orbit of a planet or other celestial body where it appears to be stationary from the perspective of an observer on Earth. This can occur when a planet is at opposition or conjunction with the Sun.

The meaning of "stationary point" can vary depending on the field of study or the context in which it is used. In each case, the term refers to a point or location where something is not moving or changing.